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A-LevelMathematicsSeries9709/32 · Oct/Nov 2020 · Q25 Marks

Expand √1 + 6x in ascending powers of x, up to and including the term in x³, simplifying the coefficients.

  1. (a)Expand √1 + 6x in ascending powers of x, up to and including the term in x³, simplifying the coefficients.[4]
  2. (b)State the set of values of x for which the expansion is valid.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

  1. [M1] State a correct unsimplified version of the x or x² or x³ term
  2. [A1] State correct first two terms 1 + 2x
  3. [A1] Obtain the next two terms –4x²
  4. [A1] + 40/3 x³
  5. [B1] State answer |x| < 1/6

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2020 Paper 3 Variant 2, question 2.

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